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Inequalities: With Applications to Engineering

Inequalities: With Applications to Engineering

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Authors: Michael J. Cloud, Bryon C. Drachman
Publisher: Springer
Category: Book

Buy New: $101.82



New (1) Used (9) from $34.99

Rating: 5.0 out of 5 stars 2 reviews
Sales Rank: 2328903

Media: Hardcover
Edition: 1
Pages: 150
Number Of Items: 1
Shipping Weight (lbs): 0.9
Dimensions (in): 9.6 x 6.4 x 0.6

ISBN: 0387984046
Dewey Decimal Number: 515
EAN: 9780387984049

Publication Date: May 15, 1998
Availability: Usually ships in 1-2 business days
Shipping: International shipping available
Condition: Book is brand new, and has never been opened. Thousands of satisfied customers!

Editorial Reviews:

Product Description
There used to be a saying in mathematical circles that went something like "Children work with equalities; grownups work with inequalities." An overstatement perhaps, but a facility with inequalities does seem to be necessary for an understanding of much of mathematics at intermediate and higher levels. In particular, a working knowledge of inequalities can be beneficial to the practicing engineer. Inequalities are central to the definitions of all limiting processes, including differention and integration. When exact solutions are unavailable, inconvenient, or unnecessary, inqualities can be used to obtain error bounds for numerical approximation. Inqualities can also lead to an understanding of the qualitative behavior of solutions. This guide to inequalities was written specifically with engineers and other applied scientists in mind. It is intended to help fill the gap between college-algebra level treatments of inqualities that everyone has seen before, and the formidable treatise on the subject that exist in the mathematics literature. Every chapter ends with a rich collection of exercises. The book should be accessible to senior- level engineering students, graduate students, and practicing engineers.


Customer Reviews:

5 out of 5 stars This book rocks.   May 20, 2004
The reason why it is so sublime is that this book really explains the very common notion of inequalities in clear, lucid terms. This would be a perfect book for those who enjoy reading about applied mathmatics. It would also suit a upper level high school class or a basic college class about a very common mathmatical subject. Cloud and Drachman have lots of insight into making a complicated topic very simple.


5 out of 5 stars Very useful ideas for engineers and scientists...   October 18, 2006
Steven J. Wojtczuk (Lexington, MA)
This is a very interesting book to browse through if one needs to make a lot of approximations to model physical phenomena. For example, if one needs to estimate parasitic capacitance of a complex 3d structure, one can either resort to numerical modeling to get a near exact answer, or instead use the proof given in this book that the capacitance of such a structure can be bounded by a sphere that encloses it for a quick estimate in about a minute that will allow you to see whether the capacitance is significant and you need to calculate it more exactly. It has an easy to follow proof that the currents divide themselves in an electrical circuit to minimize dissipated power. It shows how to quickly bound tough integrals. I am not sure where it would fit into a curriculum, but it sure is a nice book to remind one of what can be done by taking a complex problem and turning it into a simple one by developing upper and lower bounds of a simpler case.

 
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